The DT, originating from the work of Darboux [1]} on the Sturm-Liouville equation, is a powerful method for constructing solutions for integrable systems such as the NLSE, the Korteweg-de Vries (KdV) equation, the Kadomtsev-Petviashvili equation, the Davey-Stewartson equation and the Toda lattice equation just to name a few. But the original DT is not applicable directly to obtain the rogue wave solutions for the nonlinear wave equations [2]}. Matveev [3]} introduced the so-called generalized DT and the positon solutions were calculated for the celebrated KdV equation. Recently, Guo et al. [2]} re-examined Matveev's generalized DT and proposed a new approach to derive the generalized DT for the KdV and the NLS equations.
